Answer
A) one and three fourths
Step by step explanation
y = x^2 - x + 2
Here we have to use the formula.
The x coordinate of the vertex = -b/2a
Compare the given equation y = x^2 - x + 2 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"
Here a = 1 and b = -1
Vertex of x coordinate = -b/2a, now plug in the value of a and b, we get
x = - (-1)/2(1)
x = 1/2
Now we have to find the y-coordinate of vertex.
Now plug in x = 1/2 in the given equation, we get
y = (1/2)^2 - 1/2 + 2
y = 1/4 - 1/2 + 2
y = 1 3/4
That is one and three fourths.
The answer is A) one and three fourths.
Thank you.
Answer:
343 cubic inches
Step-by-step explanation:
7 times 7 times 7 is 343
Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
Answer:
1.
8x + 6y = 28
9x + 3y = 39
Set to equal y.
8x + 6y = 28
6y = -8x + 28
y = -8/6x + 28/6
y = -4/3x + 14/3
9x + 3y = 39
3y = -9x + 39
y = -9/3x + 39/3
y = -3x + 13
Set equal to each other.
-4/3x + 14/3 = -3x + 13
Combine like terms.
5/3x = 25/3
Multiply by 3/5
x = 5
Plug x in.
y = -3(5) + 13
y = -15 + 13
y = -2
(5, -2)
2.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -2/9x + 1/3
0 = 0
infinitely many solutions
